Question

An 11-ft ladder leans agalnst the side of a house. The bottom of the ladder Is 9 ft from the side of the house. How high Is the IS top of the ladder from the ground?
If necessary, round your answer to the nearest tenth.

Answer 1

Answer:

The top of the ladder is 6.3 feet high from the ground.

Step-by-step explanation:

The given question can be expressed by the three sides of a right angled triangle. Let the height of the top of the ladder from the ground be represented by h.

Thus, applying the Pythagoras theorem to determine h, we have;

$/hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$11^{2}$ = $h^{2}$ + $9^{2}$

121 =  $h^{2}$ + 81

$h^{2}$ = 121 - 81

    = 40

h = $\sqrt{40}$

  = 6.325

h = 6.325 feet

The top of the ladder is 6.3 feet high from the ground.